Robust passive control for uncertain singular system with state delay

In this paper, we investigate the robust passivity problem for a class of uncertain singular systems with state delay. A sufficient condition for which the uncertain singular system with state delay is regular, impulse free and robust asymptotically stable for all admissible uncertainties is provided in terms of a linear matrix inequality. In addition, we also give procedures to design control law based on state feedback. Finally example was provided to illustrate the validity of our proposed method